Asymptotic analysis of oscillatory integrals via the Newton polyhedra of the phase and the amplitude

DOI10.2969/jmsj/06520521zbMath1271.32035arXiv1203.0808OpenAlexW3104729528MaRDI QIDQ2375998

Joe Kamimoto, Toshihiro Nose, Koji Cho

Publication date: 26 June 2013

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.0808

zbMATH Keywords

asymptotic expansionoscillatory integralsNewton polyhedralocal zeta functionoscillation index and its multiplicity

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Singularities in algebraic geometry (14B05) Complex singularities (32S99) Asymptotic behavior of solutions to equations on manifolds (58K55)

Related Items (5)

On Archimedean zeta functions and Newton polyhedra ⋮ Some oscillatory integral estimates via real analysis ⋮ Resolution of singularities for \(C^\infty\) functions and meromorphy of local zeta functions ⋮ Newton polyhedra and weighted oscillatory integrals with smooth phases ⋮ Uniform bounds for Fourier transforms of surface measures in R$^3$ with nonsmooth density

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